University Of Louisville Hosp · Referral network

HSA 18049 · 2017 · 1278 physicians · 8000 edges

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Data source · SQLite (fallback)
CMS ≥11 patient pairs
Running from SQLite — no Neo4j required. Regional and HSA dashboards, this force graph, curvature histogram, and hub rankings all work out of the box. Advanced users can optionally load the graph into a self-hosted Neo4j instance (docker compose up -d, then npm run etl-to-neo4j) for the Cypher playground and Neo4j Browser.

Force-directed graph · edges coloured by Forman–Ricci curvature

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Curvature distribution

Mean F
-2,952,085
Median F
-971,344
Min F
-56,297,128
Max F
520

From referral_network_features

Precomputed on the full thresholded network (all edges, Python toolkit, unit node weights).

Nodes
2,591
Edges
80,180
Avg clustering
0.636
Density
0.0239
Forman μ
-229.2
Forman σ
270.8

Rendered graph structure

Live computation on up to 8,000 edges (SQLite row order, node-strength weights). Values will differ from precomputed stats above for large HSAs.

Total weight
548,477
Avg degree
12.52
Max degree
377
Negative F edges
7,984
Positive F edges
16
Nonzero F edges
8,000

Reading the graph

Teal edges have positive Forman curvature — efficient information flow.

Red edges have negative curvature — bottlenecks in the referral graph.

Edge width: log(patient count). Node size: degree-weighted strength.

Hub physicians

#1
NPI 1285745612
Degree 174 · weight 30,936
174
#2
NPI 1063400885
Degree 365 · weight 30,003
365
#3
NPI 1720070196
Degree 377 · weight 29,639
377
#4
NPI 1891746483
Degree 217 · weight 21,114
217
#5
NPI 1902846157
Degree 209 · weight 20,642
209
#6
NPI 1770534034
Degree 203 · weight 19,625
203
#7
NPI 1538171517
Degree 205 · weight 19,597
205
#8
NPI 1255384020
Degree 202 · weight 17,279
202

Most negative curvature

#1
Forman -56,297,128
1063400885 → 1720070196
Weight 296 · Forman -56,297,128
#2
Forman -56,121,094
1063400885 → 1063545275
Weight 983 · Forman -56,121,094
#3
Forman -56,037,454
1063400885 → 1912995721
Weight 797 · Forman -56,037,454
#4
Forman -54,981,698
1063400885 → 1780672402
Weight 735 · Forman -54,981,698
#5
Forman -53,729,493
1063400885 → 1508854266
Weight 1,047 · Forman -53,729,493
#6
Forman -47,952,122
1063400885 → 1356385413
Weight 724 · Forman -47,952,122
#7
Forman -45,375,233
1063400885 → 1669471165
Weight 721 · Forman -45,375,233
#8
Forman -44,490,362
1063400885 → 1225087612
Weight 628 · Forman -44,490,362

Strongest referral edges

#1
Weight 2,258
1285745612 → 1477517241
Weight 2,258 · Forman -31,495,725
#2
Weight 1,786
1003871518 → 1285745612
Weight 1,786 · Forman -26,017,948
#3
Weight 1,318
1679742290 → 1861495046
Weight 1,318 · Forman -3,000,275
#4
Weight 1,181
1225180896 → 1588642425
Weight 1,181 · Forman -23,394,043
#5
Weight 1,047
1063400885 → 1508854266
Weight 1,047 · Forman -53,729,493
#6
Weight 1,042
1003272261 → 1891749305
Weight 1,042 · Forman -23,784,159
#7
Weight 1,002
1770534034 → 1992758197
Weight 1,002 · Forman -20,654,945
#8
Weight 983
1063400885 → 1063545275
Weight 983 · Forman -56,121,094